FOR CHILDREN

PROBLEM # 1
A carpenter enters a hardware store and wants to buy a specific number of pounds of nails for his business. The first store he enters sells his favorite sized nails at 9 cents per pound. At this price, the carpenter realized that he would be short 1215 pennies if he tried to buy the nails. The carpenter goes to a competing hardware store and finds that the nails sell for 6 cents a pound. He realizes that after paying for the nails, he would have 345 pennies left over. How many pounds of nails is he trying to buy?

FOR GROWNUPS

PROBLEM # 2
What is the limit of x tending to 0 of (1-cos5x)/(1-cos7x).

-------------------------------------------------------------------------------------------------------------

Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-102005 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

-------------------------------------------------------------------------------------------------------------

SOLUTIONS TO PROBLEMS ON 10/06/05

FOR CHILDREN

PROBLEM # 1
The total cost of an outing is $240. If there were forty more people, each person attending would have paid $1 less. How many people attended the outing?

SOLUTION
80.

FOR GROWNUPS

PROBLEM # 2

Each side of square ABCD is of length 12 cm. E is the midpoint of AB, F is the trisection point of BC closer to B and G is on CD such that CG = CD/4. How many square centimeters are in the area of  triangle EFG?

SOLUTION
30 sq. cm.

|